Here is what you can do instead. Since you don’t want your name to be attached with your business profile, (which otherwise also would remain undercover since your pages do not disclose your personal profiles), you can make a profile based on your actual information, minus the name. For the name, you can use short forms. And once your profile is made, you are free to make a Business Page.
Why Would Anyone Want to Make a Business Profile and Not a Personal One
I know a lot of people who are not on Facebook. And assuming that these people start a business and do not want to use it for personal, but professional use, there are a lot of chances that they would go for this procedure as mentioned above. When I was making my business pages on Facebook, I too, worried about this, that what if what I shared on my business page and personal profile somehow linked. But to make things clear, Facebook makes sure that this never happens and has not ever happened. But then again, everyone is free to choose how they want to go about their decisions. If this is what they want, then here the solution to how to not use the personal profile for a business page.
How to Add a Tab for Instagram on Your Facebook Business PageHow To Make Your Android Unique: Make Your Own Boot AnimationHow to Share a Greeting Card Using Your Facebook AccountHow to Make xfinity Your Home Page on Google Chrome